Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Strong Coupling Asymptotics of RG-Function. / Комарова, Марина Владимировна; Компаниец, Михаил Владимирович; Налимов, Михаил Юрьевич.
15th Chaotic Modeling and Simulation International Conference. ed. / Christos H. Skiadas; Yiannis Dimotikalis. Springer Nature, 2023. p. 141-156 (Springer Proceedings in Complexity).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - Strong Coupling Asymptotics of RG-Function
AU - Комарова, Марина Владимировна
AU - Компаниец, Михаил Владимирович
AU - Налимов, Михаил Юрьевич
N1 - Conference code: 15
PY - 2023
Y1 - 2023
N2 - The quantum-field perturbation theory is commonly used in the theoretical physics. But the strong coupling problem it is one of the most essential here. Here we will present the results of the strong coupling investigation to the critical behavior description on the base of the well known $$\phi ^4$$ theory and standard quantum electro dynamic model. For the strong coupling problem investigation we have used the known quantum field convergent perturbation expansion which is convergent for the arbitrary coupling constant. One have obtained the strong coupling asymptotes for the renormalization group functions in the $$\phi ^4$$, where the previous authors have obtained the results contradicted. Moreover we have considered the another well known example of the strong-coupling problem. Namely it is the QED theory, where the correspondent problem of the “Landau pole” or the “Moscow zero” of the beta-function have led to the well known discussion about the common base of the quantum field theory.
AB - The quantum-field perturbation theory is commonly used in the theoretical physics. But the strong coupling problem it is one of the most essential here. Here we will present the results of the strong coupling investigation to the critical behavior description on the base of the well known $$\phi ^4$$ theory and standard quantum electro dynamic model. For the strong coupling problem investigation we have used the known quantum field convergent perturbation expansion which is convergent for the arbitrary coupling constant. One have obtained the strong coupling asymptotes for the renormalization group functions in the $$\phi ^4$$, where the previous authors have obtained the results contradicted. Moreover we have considered the another well known example of the strong-coupling problem. Namely it is the QED theory, where the correspondent problem of the “Landau pole” or the “Moscow zero” of the beta-function have led to the well known discussion about the common base of the quantum field theory.
KW - Convergent quantum-field perturbation expansion
KW - Critical phenomena
KW - QED
KW - Renormalization group
KW - Strong coupling limit
UR - https://www.mendeley.com/catalogue/2d69a7e0-4ac0-3c6b-81b0-87164c362fa4/
U2 - 10.1007/978-3-031-27082-6_12
DO - 10.1007/978-3-031-27082-6_12
M3 - Conference contribution
SN - 9783031270819
T3 - Springer Proceedings in Complexity
SP - 141
EP - 156
BT - 15th Chaotic Modeling and Simulation International Conference
A2 - Skiadas, Christos H.
A2 - Dimotikalis, Yiannis
PB - Springer Nature
T2 - 15th Chaotic Modeling and Simulation International Conference
Y2 - 14 June 2022 through 17 June 2022
ER -
ID: 114696640